Question

solve the following use intervals and graph to represent the set of solutions
$x ^{2} - 5x - 6 \leqslant 0$
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Answer 1

Question :-

• Solve the following use intervals and graph to represent the set of solutions

$\sf \: {x}^{2} - 5x - 6 \leqslant 0$

☆Required Answer:-

$\bf \:x∈ [- 1,  6]$

☆Explanation:-

$\sf \: {x}^{2} - 5x - 6 \leqslant 0$

$\sf \: ⟼ {x}^{2} - 6x + x- 6 \leqslant 0$

$\sf \: ⟼ \: x(x - 6) + 1(x - 6) \leqslant 0$

$\sf \: ⟼ \: (x - 6)(x + 1) \leqslant 0$

$\sf \: ⟼ \: x∈ [- 1,  6]$

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